138456 has 32 divisors (see below), whose sum is σ = 385200. Its totient is φ = 46080.

The previous prime is 138451. The next prime is 138461. The reversal of 138456 is 654831.

It is an interprime number because it is at equal distance from previous prime (138451) and next prime (138461).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105 + ... + 536.

2¹³⁸⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

138456 is an abundant number, since it is smaller than the sum of its proper divisors (246744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138456 is a wasteful number, since it uses less digits than its factorization.

138456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 138456 is about 372.0967616091. The cubic root of 138456 is about 51.7333489803.

The spelling of 138456 in words is "one hundred thirty-eight thousand, four hundred fifty-six".